In [1]}, among other results, the above mentioned authors prove the equivalence between the distance signless Laplacian, distance Laplacian and the distance spectra for the class of transmission regular graphs. The eigenvalues of \(\mathcal {L}(G)\)  and \(\mathcal {Q}(G)\)  are called the distance Laplacian eigenvalues and the distance signless Laplacian eigenvalues of \(G\)  and they are denoted by
\(\partial _1^{L}(G) \ge \partial _2^{L}(G)\ge \ldots \ge \partial _n^{L}(G)\) 
